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Finding the Fourth Proportional to 1,537.58, 2,306.78 and 442.04

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Solution

The fourth proportional to 1,537.58, 2,306.78 and 442.04 is: 663.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.58 : 2,306.78 = 442.04 : x
  2. Step 2: Convert to fraction form
    1,537.58/2,306.78 = 442.04/x
  3. Step 3: Cross multiply
    1,537.58x = 2,306.78 × 442.04
  4. Step 4: Simplify right side
    1,537.58x = 1,019,675.29
  5. Step 5: Solve for x
    x = 1,019,675.29/1,537.58
  6. Step 6: Final answer
    x = 663.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.